Theorems · Definition · category theory
CategoryTheory.Oplax.OplaxTrans.homCategory
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G : CategoryTheory.OplaxFunctor B C} →
CategoryTheory.Category.{max u₁ w₂, max (max (max u₁ v₁) v₂) w₂} (F ⟶ G)Category structure on the oplax natural transformations between OplaxFunctors.
Note that this a scoped instance in the Oplax.OplaxTrans namespace.
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.OplaxFunctorstatement and proof · cited by 253
- CategoryTheory.Oplax.OplaxTrans.categoryStructstatement · cited by 49
Cited by28
Results whose statement or proof uses this declaration.
- CategoryTheory.Oplax.OplaxTrans.isoMkstatement · cited by 2
- CategoryTheory.Oplax.OplaxTrans.leftUnitorstatement · cited by 2
- CategoryTheory.Oplax.OplaxTrans.rightUnitorstatement · cited by 2
- CategoryTheory.Oplax.OplaxTrans.associatorstatement · cited by 2
- CategoryTheory.Oplax.OplaxTrans.homCategory.extstatement · cited by 1
- CategoryTheory.Oplax.OplaxTrans.whiskerLeftstatement · cited by 1
- CategoryTheory.Oplax.OplaxTrans.whiskerRightstatement · cited by 1
- CategoryTheory.Oplax.OplaxTrans.homCategory.ext_iffstatement · cited by 0
- CategoryTheory.Oplax.OplaxTrans.homCategory_comp_as_appstatement · cited by 0
- CategoryTheory.Oplax.OplaxTrans.homCategory_id_as_appstatement · cited by 0
- CategoryTheory.Oplax.OplaxTrans.isoMk_hom_as_appstatement · cited by 0
- CategoryTheory.Oplax.OplaxTrans.isoMk_inv_as_appstatement · cited by 0